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Popular >

y=x^3-4x^2-x+4

Solution

y = x^{3} - 4 x^{2} - x + 4

Solution

Domain : - \infty < x < \infty

Range : - \infty < f (x) < \infty

X Intercepts : (4, 0), (- 1, 0), (1, 0), Y Intercepts : (0, 4)

Asymptotes : None

Extreme Points : Maximum (\frac{4 - 19}{3}, \frac{38 19 - 164}{27} + 4), Minimum (\frac{4 + 19}{3}, \frac{- 164 - 38 19}{27} + 4)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

x^{3} - 4 x^{2} - x + 4 : - \infty < x < \infty

Range of

x^{3} - 4 x^{2} - x + 4 : - \infty < f (x) < \infty

Axis interception points of

x^{3} - 4 x^{2} - x + 4 :

X Intercepts

: (4, 0), (- 1, 0), (1, 0),

Y Intercepts

: (0, 4)

Asymptotes of

x^{3} - 4 x^{2} - x + 4 :

None

Extreme Points of

x^{3} - 4 x^{2} - x + 4 :

Maximum

(\frac{4 - 19}{3}, \frac{38 19 - 164}{27} + 4),

Minimum

(\frac{4 + 19}{3}, \frac{- 164 - 38 19}{27} + 4)

Popular Examples

f (x) = 2 x^{2} - 2 x

y = 4 \cdot (\frac{1}{2})^{x}

f(x)= 1/4 x^4-1/3 x^3-x^2

f (x) = \frac{1}{4} x^{4} - \frac{1}{3} x^{3} - x^{2}

f (x) = x^{2} + 13

Frequently Asked Questions (FAQ)

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